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pro vyhledávání: '"Ramon M. Nunes"'
Autor:
Ramon M. Nunes
Publikováno v:
International Mathematics Research Notices. 2021:9180-9202
We prove an analogue of Heath-Brown’s bound on the 12th moment of the Riemann zeta function for Dirichlet $L$-functions with smooth moduli.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae12502673b47407ff4fa4ab620e60b2
https://doi.org/10.1093/imrn/rnz089
https://doi.org/10.1093/imrn/rnz089
Autor:
Ramon M. Nunes
Publikováno v:
Journal of Number Theory. 153:1-36
We give asymptotics for correlation sums linked with the distribution of squarefree numbers in arithmetic progressions over a fixed modulus. As a particular case we improve previous results concerning the variance.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b4934bf8f0450d8ad971f5f0c56d740
https://doi.org/10.1016/j.jnt.2014.12.025
https://doi.org/10.1016/j.jnt.2014.12.025
Autor:
Ramon M. Nunes
Publikováno v:
Acta Arithmetica. :1-18
We use Bourgain's recent bound for short exponential sums to prove certain independence results related to the distribution of squarefree numbers in arithmetic progressions.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd1f476488ba81f2804d8417d477b6d0
https://doi.org/10.4064/aa7896-12-2015
https://doi.org/10.4064/aa7896-12-2015